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Articles

Leibniz algebras constructed by Witt algebras

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Pages 2048-2064 | Received 27 Feb 2018, Accepted 19 May 2018, Published online: 27 Jun 2018
 

ABSTRACT

We describe infinite-dimensional Leibniz algebras whose associated Lie algebra is the Witt algebra and we prove the triviality of low-dimensional Leibniz cohomology groups of the Witt algebra with the coefficients in itself.

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work was partially supported by Ministerio de Economía y Competitividad (Spain) [grant MTM2016- 79661-P] (European FEDER support included, UE). The third named author was supported by VI Plan Propio de Investigación y Transferencia de la Universidad de Sevilla and by Instituto de Matemáticas de la Universidad de Sevilla.

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